Subject of a Formula
Y = mx + 3, m = This
m= (y-3)/x
y = 7x + 8, will intercept the y axis at this point.
(0,8)
(x + 1) (x - 4) = This
x2 - 3x - 4
In 4x, the 4 is this.
The coefficient
(-7 x 6) + 36 -22 = This
-10
2y = 4x + b, b = This
b = 2y - 4x
y = 4x + 4, will intercept the x axis at this point.
(-1,0)
(2x + 5) (3x + 4) = This
6x2 + 23x + 20
A triangle with a right angle
A right triangle
(4+5)2 - 42 = This
39
3y + 3 = mx + 8, x = This
x = (3y - 5)/m
A line that passes through these points (3 , 7) and (9 , 21), will have a slope of this.
slope = 7/3
(-3x + 4) (5x - 2) = This
-15x2 +26x - 8
1/3, 50%, and .75 are all these.
(-4 + 5 x 9) - (42 / 2 - 10) = This
30
5y - 4 = 3mx - 7b, m = This
m = (5y - 4 + 7b)/3x
y + 5 = 3x + 2 Will intercept the x axis at this point.
(-4x - 7) (5x - 8) = This
-20x2 - 3x + 56
(3x+4) and (2x+5) are examples of these.
Binomials
[(3 + 5 x 8) - 5 x 4)] - 10 = This
7y + 5a = 3mb - 2c, c = This
c = (7y + 5a - 3mb)/-2
y = x - 3 and y = -x + 3 intersect at this point.
(3,0)
(2x2 - 4) (x + 5) = This
2x3 + 10x2 - 4x - 20
The equation that gives us the missing length of a right triangle is called this.
Pythagorean's theorem
(3 - 62 / 4) + 2.5 x 2 - 102 = This
-101